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Alex17521 [72]
3 years ago
6

Kyle works at a donut​ factory, where a​ 10-oz cup of coffee costs 95¢​, a​ 14-oz cup costs​ $1.15, and a​ 20-oz cup costs​ $1.5

0. During one busy​ period, Kyle served 29 cups of​ coffee, using 444 ounces of​ coffee, while collecting a total of ​$35.90. How many cups of each size did Kyle​ fill?
Kyle filled ___ 10-oz cup(s), ___ 14-oz cup(s), and ___ ​20-oz cup(s).
Mathematics
2 answers:
DerKrebs [107]3 years ago
6 0

Answer:

Kyle filled  4 servings of 10oz   16 servings of 14 oz  9 servings of 20 oz

Step-by-step explanation:

10oz  95c = x

14oz 1.15c = y

20oz 1.50c = z

444 given divided by 29 cups

= 444/29 = 15.3103448 average cup weight so the higher size were used more.  

9 servings of 20 oz cups = 180 = cost check at 1.50 x 9 = $13.50

16 servings of 14 oz cups = 224 = cost check at 16 x 1.15 = $18.40

4 servings of 10 oz cups = 40 = cost check at 4 x 0.95 = $3.80

Where given collection total said to be $35.90 we total 13.5+18.4+3.8 = 35.7 so we are 0.20 out and can try again.

OR just submit this.  4 servings of 10oz   16 servings of 14 oz  9 servings of 20 oz

Ainat [17]3 years ago
5 0

Answer:

10 oz: 7

14 oz: 8

20 oz: 6

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Ahat [919]

Answer:

The value of <em>x</em> is x=\frac{\log(2)}{\log(6)}.

Step-by-step explanation:

Solve the equation as follows:

4\times 6^{x}-7=1

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           6^{x}=\frac{8}{4}

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Take log on both sides.

\log(6^{x})=\log(2)

x\log (6)=\log(2)

        x=\frac{\log(2)}{\log(6)}

Thus, the value of <em>x</em> is x=\frac{\log(2)}{\log(6)}.

6 0
4 years ago
Which value of k makes the inequality 11+2k&gt;19 true?
Vadim26 [7]

Answer:

6.

Step-by-step explanation:

11 + 2k > 19

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4 0
4 years ago
????(−2, 10) is the midpoint of . If ???????? has coordinates (4, −5), what are the coordinates of ?????
Sonbull [250]

Answer:

The coordinates of B are (-8,25).

Step-by-step explanation:

Consider the completer question is " M(−2, 10) is the midpoint of AB. If A has coordinates (4, −5), what are the coordinates of B".

Let coordinates of B are (a,b).

Formula for midpoint:

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Midpoint of A and B is

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It is given that M(−2, 10) is the midpoint of AB.

(-2,10)=(\dfrac{4+a}{2},\dfrac{-5+b}{2})

On comparing both sides we get

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Multiply both sides by 2.

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The value of a is 8.

Similarly,

10=\dfrac{-5+b}{2}

Multiply both sides by 2.

20=-5+b

Add 5 on both sides.

25=b

Therefore, the coordinates of B are (-8,25).

8 0
4 years ago
Point A is located at (1, 5), and point M is located at (-1, 6). If point M is the midpoint of AB, find the location of point B.
iren [92.7K]

Answer:

(-3,7)

Step-by-step explanation:

5 0
3 years ago
PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!
Vedmedyk [2.9K]

Answer:

The answer should be 8.  Hope this help you out.

8 0
3 years ago
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